Optical constants

Refractive index of H-ZLAF73 (CDGM)

H-ZLAF73: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.881
Extinction coefficient k
1.98319e-08
Permittivity ε1
3.53815
Permittivity ε2
7.46074e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
40.161
Chromatic dispersion dn/dλ
-0.111897 µm⁻¹
Group index ng
1.94675
Group velocity dispersion
212.243 fs²/mm
Dispersion parameter D
-1157.9 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# H-ZLAF73 (CDGM): H-ZLAF73
cdgm_h_zlaf73 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF73", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf73.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf73.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.507090015λ2λ2−0.0349987602+1.9243026λ2λ2−0.00942878144+1.4988641λ2λ2−116.086666

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.507090015
C30.0349987602
C41.9243026
C50.00942878144
C61.4988641
C7116.086666

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.2e-06 1.22e-08 -2.53e-11 8.04e-07 7.88e-10 0.213
nd
1.881000
Vd
40.161331
glass code
881402
density
value: 5200
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.008
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.33e-06 K⁻¹ at 633 nm, dn/dT = 1.10e-06 K⁻¹ at 1310 nm, dn/dT = 1.01e-06 K⁻¹ at 1550 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 425 wavelengths, the same grid as the API and the library
H-ZLAF73 (CDGM), H-ZLAF73: n and k versus wavelength
λ (µm)nk
0.3651.9382767.911300e-07
0.3666981.9373147.307076e-07
0.3684031.9363646.700041e-07
0.371.9354916.131800e-07
0.3701171.9354276.106912e-07
0.3718381.9345025.740500e-07
0.3735681.9335895.372384e-07
0.3753061.9326885.002556e-07
0.3770511.9317994.631007e-07
0.3788051.9309214.257731e-07
0.381.9303314.003400e-07
0.3805671.9300543.934644e-07
0.3823371.9291983.719997e-07
0.3841161.9283523.504351e-07
0.3859021.9275183.287702e-07
0.3876971.9266943.070045e-07
0.38951.925882.851376e-07
0.391.9256572.790800e-07
0.3913121.9250772.696392e-07
0.3931321.9242832.565434e-07
0.3949611.9234992.433867e-07
0.3967981.9227252.301688e-07
0.3986441.921962.168894e-07
0.41.9214062.071300e-07
0.4004981.9212052.051973e-07
0.4023611.9204591.979648e-07
0.4042321.9197221.906986e-07
0.4061121.9189941.833987e-07
0.4080011.9182741.760648e-07
0.4098991.9175641.686968e-07
0.4118061.9168611.612945e-07
0.4137211.9161671.538578e-07
0.4156451.9154821.463865e-07
0.4175791.9148051.388804e-07
0.4195211.9141351.313395e-07
0.421.9139721.294800e-07
0.4214721.9134741.270033e-07
0.4234331.912821.237057e-07
0.4254021.9121741.203927e-07
0.4273811.9115351.170644e-07
0.4293691.9109041.137206e-07
0.4313661.910281.103612e-07
0.4333721.9096641.069862e-07
0.4353881.9090541.035955e-07
0.4374131.9084521.001890e-07
0.4394481.9078569.676666e-08
0.441.9076969.583800e-08
0.4414921.9072689.448422e-08
0.4435451.9066859.262085e-08
0.4456091.906119.074881e-08
0.4476811.9055418.886807e-08
0.4497641.9049798.697858e-08
0.4518561.9044238.508030e-08
0.4539571.9038738.317319e-08
0.4560691.9033298.125721e-08
0.458191.9027917.933232e-08
0.461.9023397.769000e-08
0.4603211.902267.736937e-08
0.4624621.9017347.523254e-08
0.4646131.9012147.308578e-08
0.4667751.90077.092903e-08
0.4689461.9001926.876225e-08
0.4711271.8996896.658539e-08
0.4733181.8991916.439841e-08
0.475521.8986996.220125e-08
0.4777321.8982135.999388e-08
0.4799541.8977325.777623e-08
0.481.8977225.773000e-08
0.4821861.8972565.579082e-08
0.4844291.8967855.380134e-08
0.4866821.8963195.180261e-08
0.4889461.8958584.979457e-08
0.491221.8954024.777720e-08
0.4935051.8949514.575045e-08
0.49581.8945054.371426e-08
0.4981071.8940644.166861e-08
0.51.8937063.998900e-08
0.5004231.8936273.983616e-08
0.5027511.8931953.899588e-08
0.5050891.8927673.815170e-08
0.5074391.8923443.730359e-08
0.5097991.8919263.645153e-08
0.512171.8915123.559551e-08
0.5145531.8911023.473551e-08
0.5169461.8906973.387151e-08
0.519351.8902953.300349e-08
0.5217661.8898983.213144e-08
0.5241931.8895053.125532e-08
0.5266311.8891163.037513e-08
0.5290811.8887312.949085e-08
0.5315421.888352.860246e-08
0.5340141.8879732.770993e-08
0.5364981.88762.681325e-08
0.5389931.8872312.591240e-08
0.54151.8868652.500736e-08
0.5440191.8865032.409811e-08
0.5465491.8861452.318463e-08
0.5490921.885792.226690e-08
0.551.8856652.193900e-08
0.5516461.8854392.184678e-08
0.5542121.8850922.170298e-08
0.5567891.8847482.155852e-08
0.5593791.8844072.141339e-08
0.5619811.884072.126758e-08
0.5645951.8837362.112109e-08
0.5672211.8834052.097393e-08
0.5698591.8830782.082607e-08
0.572511.8827542.067754e-08
0.5751731.8824332.052830e-08
0.5778481.8821162.037838e-08
0.5805361.8818012.022776e-08
0.5832361.881492.007643e-08
0.5859491.8811811.992441e-08
0.5886751.8808761.977167e-08
0.5914131.8805731.961823e-08
0.5941641.8802741.946407e-08
0.5969271.8799771.930920e-08
0.5997041.8796831.915360e-08
0.61.8796521.913700e-08
0.6024931.8793921.895769e-08
0.6052961.8791041.875614e-08
0.6081111.8788191.855366e-08
0.610941.8785361.835023e-08
0.6137811.8782561.814586e-08
0.6166361.8779781.794053e-08
0.6195041.8777041.773425e-08
0.6223861.8774311.752701e-08
0.6252811.8771621.731881e-08
0.6281891.8768951.710964e-08
0.6311111.876631.689949e-08
0.6340471.8763681.668837e-08
0.6369961.8761081.647627e-08
0.6399591.8758511.626318e-08
0.6429351.8755961.604910e-08
0.6459261.8753431.583402e-08
0.648931.8750931.561794e-08
0.651.8750041.554100e-08
0.6519491.8748451.536996e-08
0.6549811.8745991.510377e-08
0.6580281.8743551.483635e-08
0.6610881.8741141.456768e-08
0.6641631.8738751.429776e-08
0.6672521.8736381.402659e-08
0.6703561.8734031.375415e-08
0.6734741.873171.348045e-08
0.6766071.8729391.320547e-08
0.6797541.872711.292922e-08
0.6829151.8724841.265168e-08
0.6860921.8722591.237285e-08
0.6892831.8720361.209272e-08
0.6924891.8718151.181129e-08
0.695711.8715971.152855e-08
0.6989461.871381.124450e-08
0.71.871311.115200e-08
0.7021971.8711641.118700e-08
0.7054631.8709511.123903e-08
0.7087451.870741.129130e-08
0.7120411.870531.134382e-08
0.7153531.8703221.139658e-08
0.7186811.8701161.144958e-08
0.7220231.8699121.150283e-08
0.7253821.8697091.155633e-08
0.7287561.8695081.161008e-08
0.7321461.8693091.166408e-08
0.7355511.8691111.171833e-08
0.7389721.8689151.177283e-08
0.7424091.8687211.182758e-08
0.7458631.8685281.188259e-08
0.7493321.8683361.193786e-08
0.7528171.8681471.199338e-08
0.7563191.8679591.204916e-08
0.7598371.8677721.210520e-08
0.7633711.8675871.216150e-08
0.7669221.8674031.221806e-08
0.7704891.8672211.227489e-08
0.7740731.867041.233198e-08
0.7776731.866861.238933e-08
0.781291.8666821.244696e-08
0.7849241.8665061.250485e-08
0.7885751.866331.256301e-08
0.7922431.8661561.262144e-08
0.7959281.8659841.268014e-08
0.799631.8658121.273911e-08
0.81.8657951.274500e-08
0.803351.8656421.279840e-08
0.8070861.8654731.285796e-08
0.810841.8653061.291780e-08
0.8146121.8651391.297791e-08
0.8184011.8649741.303831e-08
0.8222081.864811.309899e-08
0.8260321.8646481.315995e-08
0.8298741.8644861.322119e-08
0.8337341.8643261.328272e-08
0.8376121.8641661.334454e-08
0.8415081.8640081.340664e-08
0.8454221.8638511.346903e-08
0.8493551.8636951.353171e-08
0.851.863671.354200e-08
0.8533051.863541.359462e-08
0.8572741.8633861.365781e-08
0.8612621.8632341.372129e-08
0.8652681.8630821.378506e-08
0.8692921.8629311.384913e-08
0.8733361.8627811.391350e-08
0.8773981.8626321.397817e-08
0.8814791.8624851.404315e-08
0.8855791.8623381.410842e-08
0.8896981.8621921.417399e-08
0.8938361.8620471.423988e-08
0.8979941.8619031.430606e-08
0.91.8618341.433800e-08
0.9021711.8617591.437260e-08
0.9063671.8616171.443949e-08
0.9105831.8614761.450669e-08
0.9148181.8613351.457420e-08
0.9190731.8611951.464203e-08
0.9233481.8610561.471017e-08
0.9276431.8609181.477863e-08
0.9319581.8607811.484741e-08
0.9362931.8606441.491651e-08
0.9406481.8605081.498593e-08
0.9450231.8603731.505567e-08
0.9494191.8602391.512573e-08
0.951.8602211.513500e-08
0.9538351.8601051.519605e-08
0.9582711.8599721.526668e-08
0.9627291.859841.533764e-08
0.9672071.8597091.540893e-08
0.9717051.8595781.548055e-08
0.9762251.8594481.555250e-08
0.9807661.8593191.562479e-08
0.9853281.859191.569742e-08
0.9899111.8590621.577038e-08
0.9945151.8589341.584368e-08
0.9991411.8588071.591732e-08
11.8587841.593100e-08
1.003791.8586811.599136e-08
1.008461.8585551.606575e-08
1.013151.858431.614049e-08
1.017861.8583051.621558e-08
1.022591.8581811.629101e-08
1.027351.8580571.636680e-08
1.032131.8579341.644293e-08
1.036931.8578121.651943e-08
1.041751.857691.659628e-08
1.04661.8575681.667348e-08
1.051471.8574471.675105e-08
1.056361.8573271.682897e-08
1.061.8572371.688700e-08
1.061271.8572061.690726e-08
1.066211.8570871.698593e-08
1.071171.8569671.706496e-08
1.076151.8568491.714435e-08
1.081151.856731.722412e-08
1.086181.8566121.730426e-08
1.091241.8564941.738477e-08
1.096311.8563771.746565e-08
1.101411.856261.754691e-08
1.106531.8561441.762855e-08
1.111681.8560271.771057e-08
1.116851.8559121.779297e-08
1.122051.8557961.787576e-08
1.127271.8556811.795892e-08
1.132511.8555661.804248e-08
1.137781.8554511.812642e-08
1.143071.8553371.821076e-08
1.148391.8552231.829549e-08
1.153731.8551091.838061e-08
1.159091.8549951.846612e-08
1.164481.8548821.855204e-08
1.16991.8547681.863835e-08
1.175341.8546551.872507e-08
1.180811.8545431.881219e-08
1.18631.854431.889971e-08
1.191821.8543181.898764e-08
1.197361.8542061.907598e-08
1.21.8541521.911800e-08
1.202931.8540931.916472e-08
1.208531.8539821.925385e-08
1.214151.853871.934340e-08
1.21981.8537581.943336e-08
1.225471.8536471.952374e-08
1.231171.8535351.961454e-08
1.23691.8534241.970577e-08
1.242651.8533131.979742e-08
1.248431.8532011.988949e-08
1.254241.853091.998199e-08
1.260071.8529792.007493e-08
1.265931.8528682.016829e-08
1.271821.8527572.026209e-08
1.277741.8526472.035633e-08
1.283681.8525362.045101e-08
1.289651.8524252.054612e-08
1.295651.8523142.064168e-08
1.301671.8522032.073768e-08
1.307731.8520922.083413e-08
1.313811.8519812.093103e-08
1.319921.851872.102837e-08
1.326061.8517592.112617e-08
1.332231.8516482.122443e-08
1.338431.8515362.132314e-08
1.344651.8514252.142231e-08
1.350911.8513142.152195e-08
1.357191.8512022.162204e-08
1.36351.851092.172260e-08
1.369851.8509792.182363e-08
1.376221.8508672.192513e-08
1.382621.8507552.202711e-08
1.389051.8506422.212955e-08
1.395511.850532.223247e-08
1.41.8504522.230400e-08
1.4021.8504172.246359e-08
1.408521.8503052.298368e-08
1.415071.8501922.350620e-08
1.421661.8500782.403115e-08
1.428271.8499652.455853e-08
1.434911.8498512.508837e-08
1.441591.8497372.562068e-08
1.448291.8496232.615546e-08
1.455031.8495092.669273e-08
1.46181.8493942.723249e-08
1.468591.8492792.777477e-08
1.475431.8491632.831957e-08
1.482291.8490482.886690e-08
1.489181.8489322.941678e-08
1.496111.8488162.996922e-08
1.503071.8486993.052423e-08
1.510061.8485823.108182e-08
1.517081.8484643.164200e-08
1.524141.8483473.220479e-08
1.531231.8482293.277019e-08
1.538351.848113.333823e-08
1.545511.8479913.390891e-08
1.55271.8478723.448224e-08
1.559921.8477523.505824e-08
1.567171.8476323.563691e-08
1.574461.8475113.621828e-08
1.581791.847393.680236e-08
1.589141.8472683.738915e-08
1.596541.8471463.797867e-08
1.61.8470893.825500e-08
1.603961.8470233.949021e-08
1.611421.84694.181660e-08
1.618921.8467764.415380e-08
1.626451.8466524.650188e-08
1.634011.8465274.886088e-08
1.641611.8464025.123086e-08
1.649251.8462765.361185e-08
1.656921.8461495.600393e-08
1.664631.8460225.840712e-08
1.672371.8458946.082150e-08
1.680151.8457666.324711e-08
1.687961.8456376.568399e-08
1.695811.8455076.813222e-08
1.70371.8453777.059183e-08
1.711631.8452457.306288e-08
1.719591.8451147.554542e-08
1.727591.8449817.803951e-08
1.735621.8448488.054521e-08
1.743691.8447148.306255e-08
1.751811.844588.559161e-08
1.759951.8444448.813243e-08
1.768141.8443089.068507e-08
1.776361.8441719.324958e-08
1.784631.8440339.582602e-08
1.792931.8438959.841444e-08
1.81.8437761.006200e-07
1.801271.8437551.020189e-07
1.809641.8436151.112736e-07
1.818061.8434741.205713e-07
1.826521.8433321.299122e-07
1.835011.8431891.392966e-07
1.843551.8430451.487246e-07
1.852121.8429011.581965e-07
1.860741.8427551.677125e-07
1.869391.8426091.772727e-07
1.878091.8424611.868774e-07
1.886821.8423131.965268e-07
1.89561.8421632.062210e-07
1.904421.8420132.159603e-07
1.913281.8418612.257450e-07
1.922181.8417092.355751e-07
1.931121.8415552.454510e-07
1.94011.8414012.553728e-07
1.949121.8412452.653407e-07
1.958191.8410882.753551e-07
1.96731.840932.854159e-07
1.976451.8407712.955236e-07
1.985641.8406113.056784e-07
1.994881.840453.158803e-07
21.840363.215400e-07
2.004161.8402873.319877e-07
2.013481.8401243.554274e-07
2.022841.8399593.789761e-07
2.032251.8397934.026343e-07
2.04171.8396254.264026e-07
2.05121.8394574.502814e-07
2.060741.8392874.742713e-07
2.070331.8391154.983728e-07
2.079961.8389435.225864e-07
2.089631.8387695.469126e-07
2.099351.8385945.713519e-07
2.109121.8384175.959049e-07
2.118931.8382396.205722e-07
2.128781.838066.453542e-07
2.138681.8378796.702514e-07
2.148631.8376966.952644e-07
2.158621.8375137.203938e-07
2.168671.8373277.456401e-07
2.178751.837147.710038e-07
2.188891.8369527.964855e-07
2.199071.8367628.220857e-07
2.21.8367458.244300e-07
2.20931.8365719.356212e-07
2.219571.8363781.058533e-06
2.22991.8361831.182016e-06
2.240271.8359871.306074e-06
2.250691.8357891.430709e-06
2.261161.8355891.555923e-06
2.271671.8353881.681720e-06
2.282241.8351841.808102e-06
2.292861.834981.935072e-06
2.303521.8347732.062633e-06
2.314241.8345642.190786e-06
2.3251.8343542.319536e-06

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—